Find the eigenvalues of the given matrix. - 12 O - 30 21 OA. 3, 6 OB. - 3 OC. -3, -6 OD. 6Find the dimensions of the null space and the column space of the given matrix. 1-2310 5-4 0 01-62-2 0 0 00 0013 0 00 00 D 0 A: O A. dim NUIA=3, dim CO|A=4 O B. dim NU|A=2, dim COIA=5 O C. dim NU|A=4, dim CO|A=3 O D. dim NUIA=5, dim CO|A=2 Let W be the subspace spanned by u1 and u2. Write y as the sum of a vector in W and a vector orthogonal to W. 15 2 -1 Y: 5 su1: 2 lug: 3 13 -1 4 0A 4 11 OB 4 -11 y: 12 + 7 y= 12 7 5 a 5 -8 0c 4 19 0 8 7 v= 12 + 17 y= 24 -19 5 1a 10 3 If A is a 5 x 9 matrix, what is the smallest possible dimension of Nul A? O A. 4 OB. 0 OC. 9 OD. 5Find the closest point to y in the subspace W spanned by u1 and u2. 11 1 2 y= -1 .u1= o ,u2= 1 3 -1 2 0A 20 03 11 0c. -10 09- 10 9 4 -3 3 15 5 -2 2